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Finding the Third Proportional to 161,712 and 331,424

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Solution

The third proportional to 161,712 and 331,424 is: 679,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,712 : 331,424 = 331,424 : x
  2. Step 2: Convert to fraction form
    161,712/331,424 = 331,424/x
  3. Step 3: Cross multiply
    161,712x = 331,424 × 331,424
  4. Step 4: Simplify right side
    161,712x = 109,841,867,776
  5. Step 5: Solve for x
    x = 109,841,867,776/161,712
  6. Step 6: Final answer
    x = 679,243.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.